Shape from texture for smooth curved surfaces

  • Jonas Gårding
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 588)


Projective distortion of surface texture observed in a perspective image can provide direct information about the shape of the underlying surface. Previous theories have generally concerned planar surfaces; in this paper we present a systematic analysis of first- and second-order texture distortion cues for the case of a smooth curved surface. In particular, we analyze several kinds of texture gradients and relate them to surface orientation and surface curvature. The local estimates obtained from these cues can be integrated to obtain a global surface shape, and we show that the two surfaces resulting from the well-known tilt ambiguity in the local foreshortening cue typically have qualitatively different shapes. As an example of a practical application of the analysis, a shape from texture algorithm based on local orientation-selective filtering is described, and some experimental results are shown.


Planar Surface Tangent Plane Surface Shape Surface Orientation Perspective Projection 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    D. Buckley, J.P. Frisby, and E. Spivey, “Stereo and texture cue combination in ground planes: an investigation using the table stereometer”, Perception, vol. 20, p. 91, 1991.Google Scholar
  2. 2.
    J.E. Cutting and R.T. Millard, “Three gradients and the perception of flat and curved surfaces”, J. of Experimental Psychology: General, vol. 113(2), pp. 198–216, 1984.Google Scholar
  3. 3.
    J. Gårding, Shape from surface markings. PhD thesis, Dept. of Numerical Analysis and Computing Science, Royal Institute of Technology, Stockholm, May 1991.Google Scholar
  4. 4.
    J. Gårding, “Shape from texture for smooth curved surfaces in perspective projection”, Tech. Rep. TRITA-NA-P9203, Dept. of Numerical Analysis and Computing Science, Royal Institute of Technology, Stockholm, Jan. 1992.Google Scholar
  5. 5.
    J. Gibson, The Perception of the Visual World. Houghton Mifflin, Boston, 1950.Google Scholar
  6. 6.
    B. O'Neill, Elementary Differential Geometry. Academic Press, Orlando, Florida, 1966.Google Scholar
  7. 7.
    K. A. Stevens, “The information content of texture gradients”, Biological Cybernetics, vol. 42, pp. 95–105, 1981.PubMedGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Jonas Gårding
    • 1
  1. 1.Department of Numerical Analysis and Computing Science Royal Institute of TechnologyComputational Vision and Active Perception Laboratory (CVAP)StockholmSweden

Personalised recommendations